Hi,
the helmet looks good... but it doesn't look like a Toilet Bowl helmet... 
btw. I'm not sure but maybe soften the edges might help with the bottom of the helmet...
Edit polygons... --> Normals... --> Soften/Harden
otherwise I can only think at smoothing it at the moment... if soften doesn't help...
regards
Strarup
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Alex V. U. Strarup
One mistake can ruin it all...